messages
listlengths 1
1
| ground_truth
stringlengths 1
5
| dataset
stringclasses 1
value |
|---|---|---|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -4, -2, 3],\n [2, 1, 2, -4],\n [1, 0, 4, -1],\n [-3, -3, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-200
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[3, -4, 1, 1],\n [-4, 1, 0, -3],\n [-4, -4, -1, -1],\n [0, 1, -4, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1685
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -1, 0, 0],\n [-1, -3, 2, 3],\n [0, 2, 0, -4],\n [0, 3, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1213
|
MATH
|
[
{
"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[-4, 1, -3, 1],\n [-2, -1, 2, -3],\n [1, -4, -2, 2],\n [2, -3, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
89
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, -1, 3, -1],\n [-1, -2, -2, 0],\n [3, -2, -1, 2],\n [-1, 0, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2484
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 0, -1, -1],\n [-3, 1, -1, 3],\n [-4, -2, 1, -3],\n [2, 1, -1, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-110
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 2, 3, -2],\n [2, 0, 2, 0],\n [3, 2, -4, 2],\n [-2, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1126
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 3, 4, 0],\n [-1, -4, 2, -3],\n [-1, 0, -3, -3],\n [-3, 3, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
37
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 0, 0, -2],\n [0, -4, -1, 3],\n [0, -1, -4, 0],\n [-2, 3, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8692
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-1, 2, 1, 0],\n [2, -1, 0, -2],\n [1, 0, -2, -2],\n [0, -2, -2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1302
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 2, -1, -1],\n [-2, -2, -1, 2],\n [-2, 2, 3, -2],\n [-3, 1, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
56
|
MATH
|
[
{
"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[3, 1, 1, 0],\n [1, -3, -4, -2],\n [1, -4, 2, -1],\n [0, -2, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
229
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 0, 2, 0],\n [0, 2, -2, 0],\n [2, -2, -2, 0],\n [0, 0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1265
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -2, 1, 0],\n [-2, 0, 0, 0],\n [1, 0, -4, 0],\n [0, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
317
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 1, 0, 0],\n [1, 3, 0, 0],\n [0, 0, -3, 2],\n [0, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
202
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -2, 2, -3],\n [-2, 1, -4, 0],\n [2, -4, 0, 0],\n [-3, 0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-51
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, 4, 0, 3],\n [0, 3, 1, 2],\n [-2, 0, 1, -2],\n [-1, -3, 2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2974
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 3, 0, 1],\n [1, -1, -4, -3],\n [-1, -1, -2, 2],\n [3, -2, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
587
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[-3, -2, 0, 2],\n [-2, -2, -2, 2],\n [0, -2, -2, 0],\n [2, 2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
341
|
MATH
|
[
{
"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[-4, 4, 4, -4],\n [0, -4, 2, -1],\n [-3, -3, -3, -2],\n [-1, -3, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-410
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 0, 3, -2],\n [0, -2, 2, -1],\n [3, 2, -4, 2],\n [-2, -1, 2, 4]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-452
|
MATH
|
[
{
"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[1, 1, -1, 0],\n [1, -4, 0, 0],\n [-1, 0, -3, -3],\n [0, 0, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-62
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[3, 0, -2, 2],\n [0, -4, -4, 0],\n [-2, -4, -2, 0],\n [2, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-132
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[-4, 2, 0, 0],\n [2, 3, 3, 1],\n [0, 3, 4, -1],\n [0, 1, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-6
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[1, -2, -1, -1],\n [3, -3, 1, 2],\n [-1, -4, 1, -2],\n [3, -1, 1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
579
|
MATH
|
[
{
"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[-2, 0, 0, -2],\n [0, -4, 0, -4],\n [0, 0, 2, 0],\n [-2, -4, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-144
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 2, 0, 1],\n [2, -2, 1, 0],\n [0, 1, -3, 3],\n [1, 0, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
71
|
MATH
|
[
{
"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[1, 2, 0, -4],\n [-4, 1, -2, -2],\n [-2, -2, -4, 1],\n [2, 0, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-16
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 2, 4, 2],\n [2, -4, 0, 0],\n [4, 0, 0, 2],\n [2, 0, 2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11360
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -3, 0, 1],\n [-3, -3, 2, 0],\n [0, 2, 4, 0],\n [1, 0, 0, 1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-153
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 2, 4, -2],\n [2, -1, 3, 0],\n [4, 3, 0, 2],\n [-2, 0, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2794
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 1, -2, 0],\n [1, 0, 0, 1],\n [-2, 0, 4, 1],\n [0, 1, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
514
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 4, 1, 1],\n [-4, -3, 3, 2],\n [-2, -2, -3, 4],\n [-4, 1, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
6346
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[3, -2, -3, 2],\n [-2, 2, -2, 0],\n [-3, -2, -2, 0],\n [2, 0, 0, -2]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 2, 0, 0],\n [2, 4, 2, -2],\n [0, 2, -4, 0],\n [0, -2, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3136
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[0, 0, 4, 2],\n [0, 3, 2, 2],\n [4, 2, 2, 2],\n [2, 2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
660
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 3, 0, 0],\n [3, 2, 0, 2],\n [0, 0, 4, -3],\n [0, 2, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2882
|
MATH
|
[
{
"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[3, 0, -1, 0],\n [0, 2, -2, 0],\n [-1, -2, 2, 0],\n [0, 0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
0
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 1, -1, -1],\n [-3, 3, 4, -1],\n [2, -3, 1, 3],\n [1, 3, -1, -3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-41
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[2, -1, 0, 1],\n [-1, 4, 2, 4],\n [0, 2, 3, 2],\n [1, 4, 2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2323
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 1, 4, -2],\n [-3, 3, 3, 1],\n [-3, 2, -2, -2],\n [0, -3, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1982
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 2, 1, -3],\n [-1, 2, 3, 1],\n [-1, 1, -2, 4],\n [4, 2, -4, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
199
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -1, 0, -2],\n [-1, 4, 2, 0],\n [0, 2, 3, 2],\n [-2, 0, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
702
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[-1, 1, 0, 4],\n [0, -1, -2, 4],\n [-3, -4, 4, 4],\n [-4, -4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
737
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, -1, 0],\n [0, 1, -2, -4],\n [-1, -2, 1, -4],\n [0, -4, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
8254
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, -1, -4, -2],\n [-1, 4, 4, 0],\n [-4, 4, 3, 1],\n [-2, 0, 1, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
130
|
MATH
|
[
{
"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[0, -4, 2, -4],\n [1, 0, -1, -3],\n [-2, -1, 1, 3],\n [1, -1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-96
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, -2, 0, -2],\n [3, -3, 4, 1],\n [-1, -4, 0, 3],\n [1, 0, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2010
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 0, 2, -1],\n [0, 4, 0, -1],\n [2, 0, 3, -2],\n [-1, -1, -2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
113
|
MATH
|
[
{
"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[4, -1, 4, -2],\n [-3, 1, -2, 0],\n [-4, 0, -3, -2],\n [0, -2, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-228
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 1, 4, 0],\n [1, 4, 0, 0],\n [4, 0, -4, -1],\n [0, 0, -1, -1]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
45
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[-3, 0, -1, 2],\n [0, 2, 0, -2],\n [-1, 0, -3, -2],\n [2, -2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
208
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 1, 3, 0],\n [-3, 0, 4, 1],\n [-1, -1, -2, 0],\n [-4, 0, -3, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
272
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, -3, 2],\n [0, 3, 0, 4],\n [-3, 0, 2, 3],\n [2, 4, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1781
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 3, -3, 4],\n [-4, -3, 0, -3],\n [-4, -4, 3, -4],\n [2, 4, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-76
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[1, 0, 0, 2],\n [0, -4, 0, 0],\n [0, 0, -4, -2],\n [2, 0, -2, 0]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
12
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, -4, 0, 2],\n [-4, -1, 2, 0],\n [0, 2, 2, 3],\n [2, 0, 3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2772
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 2, -2, -2],\n [2, 1, -1, 0],\n [-2, -1, -4, -2],\n [-2, 0, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4843
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[-3, 2, 2, 1],\n [0, 1, 3, -3],\n [-3, 2, -2, -2],\n [2, -3, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
574
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 0, -2, -2],\n [0, 1, 0, 0],\n [-2, 0, 1, -2],\n [-2, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-167
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 0, -2, -1],\n [0, -4, 4, -3],\n [-2, 4, 3, 0],\n [-1, -3, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1338
|
MATH
|
[
{
"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 1, 4, 1],\n [1, -2, -2, 2],\n [4, -2, -1, -2],\n [1, 2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1141
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[4, -2, -1, 2],\n [-2, -1, 0, -2],\n [-1, 0, 2, 0],\n [2, -2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
664
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-3, -3, -1, 0],\n [4, 3, -2, 4],\n [-2, 3, -4, -4],\n [-3, 1, -2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4436
|
MATH
|
[
{
"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[-1, 4, -4, 0],\n [4, 0, 2, 0],\n [-4, 2, -1, 2],\n [0, 0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-1002
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 2, -2, -2],\n [2, -4, -4, -4],\n [-2, -4, -2, -3],\n [-2, -4, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
36015
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 2, 0, -3],\n [0, 1, -2, -3],\n [-4, 1, 3, 3],\n [-2, -4, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
34134
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -3, -3, 0],\n [0, -2, -1, -3],\n [1, -2, 2, 1],\n [0, 1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
130
|
MATH
|
[
{
"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[1, 0, -2, 0],\n [0, 0, 3, 1],\n [-2, 3, 3, -3],\n [0, 1, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-132
|
MATH
|
[
{
"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[1, 2, 2, -1],\n [3, 1, 1, 0],\n [3, 3, 0, -2],\n [-3, 2, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
218
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[-2, -2, -4, -1],\n [4, -2, 2, 2],\n [3, 4, 0, -4],\n [-3, 2, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-96
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 1, 1, -4],\n [1, 2, 2, 2],\n [1, 2, 2, -2],\n [-4, 2, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
984
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, -1, 1],\n [-2, -1, -1, 3],\n [4, -2, -3, 4],\n [-3, 4, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3492
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-4, 0, 0, -2],\n [0, 0, 1, 3],\n [0, 1, 2, 0],\n [-2, 3, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
60
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -3, -3, -3],\n [-4, 2, 3, 4],\n [-2, 0, -3, -1],\n [-2, 0, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
848
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 1, -2, 0],\n [3, 3, 1, 4],\n [2, -4, 1, -3],\n [-1, -3, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
392
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -4, -3, 2],\n [1, 0, 4, 0],\n [2, 4, 0, 4],\n [1, 0, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2632
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, 2, -4],\n [-3, 2, -1, 4],\n [4, 0, 4, -4],\n [4, -1, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
477
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[-2, 0, -2, -1],\n [0, -4, -3, 0],\n [-2, -3, 1, -2],\n [-1, 0, -2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
734
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 2, -1, 0],\n [0, 1, -2, 2],\n [-1, 2, 4, 3],\n [-2, 1, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
497
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-2, 1, 2, -1],\n [1, 3, 1, -4],\n [-2, -3, 0, -4],\n [-1, -4, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
2233
|
MATH
|
[
{
"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 3, 0, -1],\n [3, 2, 0, 2],\n [0, 0, -2, 0],\n [-1, 2, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
526
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[-4, 1, 2, 2],\n [1, 3, 0, 4],\n [2, 0, 1, 0],\n [2, 4, 0, -3]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
28
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 4, -2, 1],\n [-3, 2, 1, -3],\n [3, -2, 4, -1],\n [-1, 3, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
996
|
MATH
|
[
{
"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[2, 3, -2, 2],\n [3, 2, -2, -2],\n [-2, -2, 0, 4],\n [2, -2, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
128
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -2, -1, 2],\n [-3, 4, -3, 2],\n [-2, 2, 1, 4],\n [-3, -4, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
3424
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[2, 1, 0, 2],\n [-2, 2, -3, -1],\n [3, -4, 1, 0],\n [1, -4, 4, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
1010
|
MATH
|
[
{
"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[-3, 2, 2, 2],\n [4, -3, -2, -1],\n [3, -4, 4, -3],\n [-4, 3, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-85
|
MATH
|
[
{
"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -2, 1, 1],\n [4, -3, 3, -4],\n [4, 1, 4, 2],\n [0, 1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
269
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[0, 1, 0, 0],\n [1, 0, -1, 1],\n [0, -1, 1, 0],\n [0, 1, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
59
|
MATH
|
[
{
"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[-1, 0, 2, 2],\n [0, 0, 0, 0],\n [2, 0, 3, -4],\n [2, 0, -4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-152
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 2, -1, 2],\n [2, 1, 2, -2],\n [-1, 2, -3, 2],\n [2, -2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
14006
|
MATH
|
[
{
"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[2, 3, -3, 2],\n [4, 4, 2, 0],\n [-3, -2, 0, -4],\n [1, 0, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
193
|
MATH
|
[
{
"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 1, -2, -4],\n [1, 2, 1, 0],\n [-2, 1, 4, -2],\n [-4, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
4612
|
MATH
|
[
{
"content": "For the matrix power A^3 where A =\n[[4, 1, 1, 2],\n [1, 0, -3, -1],\n [1, -3, -2, 0],\n [2, -1, 0, -3]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-24
|
MATH
|
[
{
"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[2, -1, 1, 4],\n [-3, -4, -1, 4],\n [-1, 1, -2, -2],\n [-1, 4, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
216
|
MATH
|
[
{
"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 0, 2, 2],\n [-1, -2, -3, 4],\n [3, 2, -1, 2],\n [4, 1, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
553
|
MATH
|
[
{
"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[-2, -2, -1, 1],\n [-2, 0, 4, 1],\n [-1, 4, -1, -1],\n [1, 1, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
-33
|
MATH
|
[
{
"content": "For the matrix power A^4 where A =\n[[4, 0, 2, 0],\n [0, 1, 4, 4],\n [2, 4, -1, 0],\n [0, 4, 0, -1]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
733
|
MATH
|
[
{
"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -3, 4, -2],\n [-3, 0, 0, -3],\n [4, 0, 1, -2],\n [-2, -3, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] |
11573
|
MATH
|
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